Null boundary controllability of nonlinear integrodifferential systems with Rosenblatt process
Volume 26, Issue 2, pp 113--127
http://dx.doi.org/10.22436/jmcs.026.02.02
Publication Date: November 05, 2021
Submission Date: October 23, 2020
Revision Date: March 10, 2021
Accteptance Date: August 13, 2021
Authors
M. A. AL-Nahhas
- International Academy for Engineering and Media Sciences, Cairo, Egypt.
H. M. Ahmed
- Higher Institute of Engineering , El-Shorouk Academy, El-Shorouk City, Cairo, Egypt.
H. M. El-Owaidy
- Faculty of Sciences, Al-Azhar University, Cairo, Egypt.
Abstract
By using stochastic analysis, compact semigroups and Schauder fixed-point theorem, we discuss the null boundary controllability
of nonlinear integrodifferential system with Rosenblatt process. In addition, the null boundary controllability of
Sobolev-type neutral integro-differential system with Rosenblatt is studied. Finally, an example is given to illustrate the obtained results.
The null controllability results for stochastic differential systems with Rosenblatt process and control on the boundary have not yet been considered in the literature, and this fact motivates this work.
Share and Cite
ISRP Style
M. A. AL-Nahhas, H. M. Ahmed, H. M. El-Owaidy, Null boundary controllability of nonlinear integrodifferential systems with Rosenblatt process, Journal of Mathematics and Computer Science, 26 (2022), no. 2, 113--127
AMA Style
AL-Nahhas M. A., Ahmed H. M., El-Owaidy H. M., Null boundary controllability of nonlinear integrodifferential systems with Rosenblatt process. J Math Comput SCI-JM. (2022); 26(2):113--127
Chicago/Turabian Style
AL-Nahhas, M. A., Ahmed, H. M., El-Owaidy, H. M.. "Null boundary controllability of nonlinear integrodifferential systems with Rosenblatt process." Journal of Mathematics and Computer Science, 26, no. 2 (2022): 113--127
Keywords
- Rosenblatt process
- stochastic analysis
- Sobolev-type integro-differential system
- null boundary controllability
MSC
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